Numerical Simulation of N-vector Spin Models in a Magnetic Field
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2006
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| _version_ | 1876428697687293952 |
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| author | Tereza Mendes |
| author_facet | Tereza Mendes |
| contents | Numerical Simulation of N-vector Spin Models in a Magnetic Field Tereza Mendes Attilio Cucchieri Física, Astronomía y Matemáticas Scaling Universality vector models Goldstone modes Equation of state Three-dimensional N-vector spin models may define universality classes for such diverse phenomena as i) the superfluid transition in liquid helium (currently investigated in the micro-gravity environment of the Space Shuttle) and ii) the transition from hadronic matter to a quark-gluon plasma, studied in heavy-ion collisions at the laboratories of Brookhaven and CERN. The models have been extensively studied both by field-theoretical and by statistical mechanical methods, including Monte Carlo simulations using cluster algorithms. These algorithms are applicable also in the presence of a magnetic field. Key quantities for the description of the transitions above - such as universal critical amplitude ratios and the location of the so-called pseudo-critical line - can be obtained from the models' magnetic equation of state, which relates magnetization, external magnetic field and temperature. Here we present an improved parametrization for the equation of state of the models, allowing a better fit to the numerical data. Our proposed form is inspired by perturbation theory, with coefficients determined nonperturbatively from fits to the data. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654012 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| format | Artículo científico |
| id | redalyc_46413654012 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Numerical Simulation of N-vector Spin Models in a Magnetic Field Tereza Mendes Física, Astronomía y Matemáticas Scaling Universality vector models Goldstone modes Equation of state Numerical Simulation of N-vector Spin Models in a Magnetic Field Tereza Mendes Attilio Cucchieri Física, Astronomía y Matemáticas Scaling Universality vector models Goldstone modes Equation of state Three-dimensional N-vector spin models may define universality classes for such diverse phenomena as i) the superfluid transition in liquid helium (currently investigated in the micro-gravity environment of the Space Shuttle) and ii) the transition from hadronic matter to a quark-gluon plasma, studied in heavy-ion collisions at the laboratories of Brookhaven and CERN. The models have been extensively studied both by field-theoretical and by statistical mechanical methods, including Monte Carlo simulations using cluster algorithms. These algorithms are applicable also in the presence of a magnetic field. Key quantities for the description of the transitions above - such as universal critical amplitude ratios and the location of the so-called pseudo-critical line - can be obtained from the models' magnetic equation of state, which relates magnetization, external magnetic field and temperature. Here we present an improved parametrization for the equation of state of the models, allowing a better fit to the numerical data. Our proposed form is inspired by perturbation theory, with coefficients determined nonperturbatively from fits to the data. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654012 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| title | Numerical Simulation of N-vector Spin Models in a Magnetic Field |
| topic | Física, Astronomía y Matemáticas Scaling Universality vector models Goldstone modes Equation of state |
| url | https://www.redalyc.org/articulo.oa?id=46413654012 |